Title of article
A note on Hajłasz–Sobolev spaces on fractals
Author/Authors
Jiaxin Hu، نويسنده , , b، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2003
Pages
11
From page
91
To page
101
Abstract
We introduce Hajłasz–Sobolev spaces involving walk dimensions on subsets of Rn that will generally
be fractals. The relationship between this kind of new space and the Besov space of Jonsson and
Wallin is investigated. The (compact) embedding theorems for Hajłasz–Sobolev spaces are obtained.
2003 Elsevier Science (USA). All rights reserved.
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2003
Journal title
Journal of Mathematical Analysis and Applications
Record number
930500
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